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Advancement in Color Image Processing using Geometric Algebra

Advancement in Color Image Processing using Geometric Algebra
Advancement in Color Image Processing using Geometric Algebra
This paper describes an advancement in color image processing, using geometric algebra. This is achieved using a compact representation of vectors within $n$ dimensional space. Geometric Algebra (GA) is a preferred framework for signal representation and image representation. In this context the R, G, B color channels are not defined separately but as a single entity. As GA provides a rich set of operations, the signal and image processing operations becomes straightforward and the algorithms intuitive. From the experiments described in this paper, it is also possible to conclude that the convolution operation with the rotor masks within GA belong to a class of linear vector filters and can be applied to image or speech signals. The usefulness of the introduced approach has been demonstrated by analyzing and implementing two different types of edge detection schemes.
Mishra, Biswajit
07cc7afc-c1ce-4ed7-bf5d-caddbbfd1dbb
Wilson, Peter
8a65c092-c197-4f43-b8fc-e12977783cb3
Al-Hashimi, Bashir
0b29c671-a6d2-459c-af68-c4614dce3b5d
Mishra, Biswajit
07cc7afc-c1ce-4ed7-bf5d-caddbbfd1dbb
Wilson, Peter
8a65c092-c197-4f43-b8fc-e12977783cb3
Al-Hashimi, Bashir
0b29c671-a6d2-459c-af68-c4614dce3b5d

Mishra, Biswajit, Wilson, Peter and Al-Hashimi, Bashir (2008) Advancement in Color Image Processing using Geometric Algebra. EUSIPCO.

Record type: Conference or Workshop Item (Paper)

Abstract

This paper describes an advancement in color image processing, using geometric algebra. This is achieved using a compact representation of vectors within $n$ dimensional space. Geometric Algebra (GA) is a preferred framework for signal representation and image representation. In this context the R, G, B color channels are not defined separately but as a single entity. As GA provides a rich set of operations, the signal and image processing operations becomes straightforward and the algorithms intuitive. From the experiments described in this paper, it is also possible to conclude that the convolution operation with the rotor masks within GA belong to a class of linear vector filters and can be applied to image or speech signals. The usefulness of the introduced approach has been demonstrated by analyzing and implementing two different types of edge detection schemes.

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Published date: August 2008
Venue - Dates: EUSIPCO, 2008-08-01
Organisations: Electronic & Software Systems, EEE

Identifiers

Local EPrints ID: 266670
URI: http://eprints.soton.ac.uk/id/eprint/266670
PURE UUID: e7ac220e-3af4-4a56-9a0e-3a124eed0116

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Date deposited: 15 Sep 2008 20:18
Last modified: 14 Mar 2024 08:32

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Contributors

Author: Biswajit Mishra
Author: Peter Wilson
Author: Bashir Al-Hashimi

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